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Finding the Third Proportional to 607,048 and 874,412

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Solution

The third proportional to 607,048 and 874,412 is: 1,259,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,048 : 874,412 = 874,412 : x
  2. Step 2: Convert to fraction form
    607,048/874,412 = 874,412/x
  3. Step 3: Cross multiply
    607,048x = 874,412 × 874,412
  4. Step 4: Simplify right side
    607,048x = 764,596,345,744
  5. Step 5: Solve for x
    x = 764,596,345,744/607,048
  6. Step 6: Final answer
    x = 1,259,531.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.